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http://functions.wolfram.com/09.16.04.0003.01
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WeierstrassSigma[n, Conjugate[z], {Conjugate[Subscript[g, 2]],
Conjugate[Subscript[g, 3]]}] ==
Conjugate[WeierstrassSigma[n, z, {Subscript[g, 2], Subscript[g, 3]}]] /;
Element[n, {1, 2, 3}]
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Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["WeierstrassSigma", "[", RowBox[List["n", ",", RowBox[List["Conjugate", "[", "z", "]"]], ",", RowBox[List["{", RowBox[List[RowBox[List["Conjugate", "[", SubscriptBox["g", "2"], "]"]], ",", RowBox[List["Conjugate", "[", SubscriptBox["g", "3"], "]"]]]], "}"]]]], "]"]], "\[Equal]", RowBox[List["Conjugate", "[", RowBox[List["WeierstrassSigma", "[", RowBox[List["n", ",", "z", ",", RowBox[List["{", RowBox[List[SubscriptBox["g", "2"], ",", SubscriptBox["g", "3"]]], "}"]]]], "]"]], "]"]]]], "/;", RowBox[List["n", "\[Element]", RowBox[List["{", RowBox[List["1", ",", "2", ",", "3"]], "}"]]]]]]]]
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<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <semantics> <mrow> <msub> <mi> σ </mi> <mi> n </mi> </msub> <mo> ( </mo> <mrow> <mrow> <mover> <mi> z </mi> <mo> _ </mo> </mover> <mo> ; </mo> <mover> <msub> <mi> g </mi> <mn> 2 </mn> </msub> <mo> _ </mo> </mover> </mrow> <mo> , </mo> <mover> <msub> <mi> g </mi> <mn> 3 </mn> </msub> <mo> _ </mo> </mover> </mrow> <mo> ) </mo> </mrow> <annotation encoding='Mathematica'> TagBox[RowBox[List[SubscriptBox["\[Sigma]", "n"], "(", RowBox[List[RowBox[List[OverscriptBox["z", "_"], ";", TagBox[OverscriptBox[SubscriptBox["g", "2"], "_"], Rule[Editable, True]]]], ",", TagBox[OverscriptBox[SubscriptBox["g", "3"], "_"], Rule[Editable, True]]]], ")"]], InterpretTemplate[Function[WeierstrassZeta[Slot[1], List[Slot[2], Slot[3]]]]]] </annotation> </semantics> <mo> ⩵ </mo> <mover> <mrow> <msub> <mi> σ </mi> <mi> n </mi> </msub> <mo> ( </mo> <mrow> <mrow> <semantics> <mi> z </mi> <annotation encoding='Mathematica'> TagBox["z", Rule[Editable, True]] </annotation> </semantics> <mo> ; </mo> <semantics> <msub> <mi> g </mi> <mn> 2 </mn> </msub> <annotation encoding='Mathematica'> TagBox[SubscriptBox["g", "2"], Rule[Editable, True]] </annotation> </semantics> </mrow> <mo> , </mo> <semantics> <msub> <mi> g </mi> <mn> 3 </mn> </msub> <annotation encoding='Mathematica'> TagBox[SubscriptBox["g", "3"], Rule[Editable, True]] </annotation> </semantics> </mrow> <mo> ) </mo> </mrow> <mo> _ </mo> </mover> </mrow> <mo> /; </mo> <mrow> <mi> n </mi> <mo> ∈ </mo> <mrow> <mo> { </mo> <mrow> <mn> 1 </mn> <mo> , </mo> <mn> 2 </mn> <mo> , </mo> <mn> 3 </mn> </mrow> <mo> } </mo> </mrow> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <mrow> <mrow> <semantics> <mrow> <msub> <mi> σ </mi> <mi> n </mi> </msub> <mo> ( </mo> <mrow> <mrow> <mover> <mi> z </mi> <mo> _ </mo> </mover> <mo> ; </mo> <mover> <msub> <mi> g </mi> <mn> 2 </mn> </msub> <mo> _ </mo> </mover> </mrow> <mo> , </mo> <mover> <msub> <mi> g </mi> <mn> 3 </mn> </msub> <mo> _ </mo> </mover> </mrow> <mo> ) </mo> </mrow> <annotation encoding='Mathematica'> TagBox[RowBox[List[SubscriptBox["\[Sigma]", "n"], "(", RowBox[List[RowBox[List[OverscriptBox["z", "_"], ";", TagBox[OverscriptBox[SubscriptBox["g", "2"], "_"], Rule[Editable, True]]]], ",", TagBox[OverscriptBox[SubscriptBox["g", "3"], "_"], Rule[Editable, True]]]], ")"]], InterpretTemplate[Function[WeierstrassZeta[Slot[1], List[Slot[2], Slot[3]]]]]] </annotation> </semantics> <mo> ⩵ </mo> <mover> <mrow> <msub> <mi> σ </mi> <mi> n </mi> </msub> <mo> ( </mo> <mrow> <mrow> <semantics> <mi> z </mi> <annotation encoding='Mathematica'> TagBox["z", Rule[Editable, True]] </annotation> </semantics> <mo> ; </mo> <semantics> <msub> <mi> g </mi> <mn> 2 </mn> </msub> <annotation encoding='Mathematica'> TagBox[SubscriptBox["g", "2"], Rule[Editable, True]] </annotation> </semantics> </mrow> <mo> , </mo> <semantics> <msub> <mi> g </mi> <mn> 3 </mn> </msub> <annotation encoding='Mathematica'> TagBox[SubscriptBox["g", "3"], Rule[Editable, True]] </annotation> </semantics> </mrow> <mo> ) </mo> </mrow> <mo> _ </mo> </mover> </mrow> <mo> /; </mo> <mrow> <mi> n </mi> <mo> ∈ </mo> <mrow> <mo> { </mo> <mrow> <mn> 1 </mn> <mo> , </mo> <mn> 2 </mn> <mo> , </mo> <mn> 3 </mn> </mrow> <mo> } </mo> </mrow> </mrow> </mrow> </annotation-xml> </semantics> </math>
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| Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["WeierstrassSigma", "[", RowBox[List["n_", ",", RowBox[List["Conjugate", "[", "z_", "]"]], ",", RowBox[List["{", RowBox[List[RowBox[List["Conjugate", "[", SubscriptBox["g_", "2"], "]"]], ",", RowBox[List["Conjugate", "[", SubscriptBox["g_", "3"], "]"]]]], "}"]]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["Conjugate", "[", RowBox[List["WeierstrassSigma", "[", RowBox[List["n", ",", "z", ",", RowBox[List["{", RowBox[List[SubscriptBox["gg", "2"], ",", SubscriptBox["gg", "3"]]], "}"]]]], "]"]], "]"]], "/;", RowBox[List["n", "\[Element]", RowBox[List["{", RowBox[List["1", ",", "2", ",", "3"]], "}"]]]]]]]]]] |
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Date Added to functions.wolfram.com (modification date)
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